Detection of Possible Symmetries in Vascular Networks by Computer-Assisted Image Analysis.

The possible forms that vascular networks may assume are significantly constrained by complex demands in terms of efficient delivery of oxygen and resources throughout the entire body. Because of these constraints the search for systematic patterns in the structural features of vascular networks and of their correlation with physiological needs and pathological conditions (such as tumor angiogenesis) represents an important line of morphological research. In this context, symmetry properties of vascular trees received limited attention, although symmetry is a widespread phenomenon, visible in all forms and scales in natural environments, and represents a significant information to describe a shape. In the present chapter three, image analysis-based methods allowing for the detection of possible symmetry features exhibited by vascular trees will be detailed and discussed.